The steel E 29 x 106 psi rod ABCD is attached to rigid wall

?The steel (E = 29 x 10^6 psi) rod ABCD is attached to rigid walls at A and D, and is acted upon by a 28 kip axial force at C. Determine the stress in parts AB, BC and CD of the rod and the horizontal deflection of point B.

12 In 12 In 12 In 1.5 n dlam 2.5 In diam 2.5 In diam -28 kips 28 kips

Solution

compression in CD F= 28kip

Tension in BC

Compression in AB

Stress in CD = F/Area of CD

Stress in BC= F/Area of BC

Stress in AB= F/area of AB

Strain in BC= Stress In BC/E

Strain in AB= Stressin AB/E

Horizontal deflection of B= Elongation in BC- Contraction of AB